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Finding the Fourth Proportional to 12,974.56, 17,906.24 and 7,385.92

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Solution

The fourth proportional to 12,974.56, 17,906.24 and 7,385.92 is: 10,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.56 : 17,906.24 = 7,385.92 : x
  2. Step 2: Convert to fraction form
    12,974.56/17,906.24 = 7,385.92/x
  3. Step 3: Cross multiply
    12,974.56x = 17,906.24 × 7,385.92
  4. Step 4: Simplify right side
    12,974.56x = 132,254,056.14
  5. Step 5: Solve for x
    x = 132,254,056.14/12,974.56
  6. Step 6: Final answer
    x = 10,193.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.